Sufficient Stability Conditions of Nonlinear Differential Systems Under Impulsive Control With State-Dependent Delay

被引：127

作者：

Li, Xiaodi ^{[1
]}

Wu, Jianhong ^{[2
]}

机构：

[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Shandong, Peoples R China

[2] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2018年 / 63卷 / 01期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Impulsive control; nonlinear differential systems; stabilizability; state-dependent delay; EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS; NEURAL-NETWORKS; EXISTENCE; EQUATIONS;

D O I：

10.1109/TAC.2016.2639819

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this technical note we study the delayed impulsive control of nonlinear differential systems, where the impulsive control involves the delayed state of the system for which the delay is state-dependent. Since the state dependence of the delay makes the impulsive transients dependent on the historical information of the states, which means that it is hard to know exactly a priori how far in the history the information is needed, the main challenge is how to determine the historical states. We resolve this challenge and establish some sufficient conditions for local stability of nonlinear differential systems with state-dependent delayed impulsive control based on impulsive control theory. Two examples are given to show the effectiveness of the proposed approach.

引用

页码：306 / 311

页数：6

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